Can I read Graduate Texts In Mathematics 188:lectures On The Hyperreals An Introduction To Nonstandard Analysis on EtoBox?

Graduate Texts In Mathematics 188:lectures On The Hyperreals An Introduction To Nonstandard Analysis by Robert Goldblatt is a nonfiction available to read on EtoBox.

What is Graduate Texts In Mathematics 188:lectures On The Hyperreals An Introduction To Nonstandard Analysis about?

This is an introduction to nonstandard analysis based on a course of lectures given several times by the author. It is suitable for use as a text at the beginning graduate or upper undergraduate level, or for self-study by anyone familiar with elementary real analysis. It presents nonstandard analysis not just as a theory about infinitely small and large numbers, but as a radically different way of viewing many standard mathematical concepts and constructions; a source of new ideas, objects and proofs; and a wellspring of powerful new principles of reasoning (transfer, overflow, saturation, enlargement, hyperfinite approximation etc.). The book begins with the ultrapower construction of hyperreal number systems, and proceeds to develop one-variable calculus, analysis and topology from the nonstandard perspective, emphasizing the role of the transfer principle as a working tool of mathematical practice. It then sets out the theory of enlargements of fragments of th! e mathematical universe, providing a foundation for the full-scale development of the nonstandard methodology. The final chapters apply this to a number of topics, including Loeb measure theory and its relation to Lebes

Who reads Graduate Texts In Mathematics 188:lectures On The Hyperreals An Introduction To Nonstandard Analysis?

Author

Robert Goldblatt

Publisher

Springer New York : Imprint: Springer

Published

1998

Language

EN

ISBN

9781461206156

Category

nonfiction

Subjects

Mathematics, Stem

Updated

2026-03-24